Chapter 6
Enroute Flight and Navigation

Table of Contents

Enroute Flight
The Wind Triangle
The Flight Computer
Finding Time, Distance, and Ground Speed
Finding Magnetic Heading and Ground Speed 
Finding Wind Direction and Velocity
Finding Distance Traveled
Finding Fuel Required
Finding Range Available
Finding the Required Airspeed
Off-Course Correction
Very High Frequency Omni-Directional Range (VOR)
Time and Distance to the Station Using VOR 
VOR Test (VOT)
VORTAC
Distance Measuring Equipment (DME)

Enroute Flight

When it becomes necessary to divert to an alternate airport, select the most suitable alternate, estimate the magnetic course to the alternate, and turn to the approximate heading to establish this course immediately. After becoming established on the new course, apply the new wind correction and compute the actual distance, estimated time, and fuel required.

Aeronautical charts are drawn using the geographic north pole as the north reference. However, a magnetic compass points to the magnetic north pole, which is not located at the geographic pole. The compass error caused by the angular difference between true north and magnetic north is called magnetic variation. Variation changes with the location on the earth, but it is the same on all headings within the location.

Aeronautical charts show the variation error with isogonic lines that run diagonally and irregularly across the charts. Each line is labeled with the variation error that runs along it, and the pilot must apply the correction for this error to relate the magnetic course to the true course. Westerly variation must be added to the true course or true heading to get the magnetic course or heading. Easterly variation must be subtracted from the true course or true heading to get magnetic course or magnetic heading.

To determine the true heading required to fly a desired true course, crab the airplane into the wind. If the wind is from the left, subtract the wind correction angle. If the wind is from the right, add the correction. See Figure 6-1.

Figure 6-1. Course/heading formula

The most widely used charts for VFR navigation of small, slow airplanes are Sectional Charts. These charts are drawn to a scale of 1:500,000 (1 inch = 6.89 nautical miles), and are revised every six months, except for some Alaskan charts which are revised every 12 months. Sectional Charts are drawn on a grid in which the meridians of longitude are non-parallel straight lines that encircle the earth from pole to pole and cross the equator at right angles. When planning a long distance flight, measure the true course from the mid-meridian to get an average true course.

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The Wind Triangle

True course is determined by measuring the course on an aeronautical chart. True airspeed is known by applying the appropriate correction to the indication of the airspeed indicator. The wind direction and velocity are known from reports or forecasts from the Flight Service Stations.

The true heading and the ground speed can be found by drawing a wind triangle of vectors. One side of the triangle is the wind direction and velocity, one side is the true heading and true airspeed, the final side is the track, or true course, and the ground speed. Each side of a wind triangle is the vector sum of the other two sides.

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The Flight Computer

Finding Time, Distance, and Ground Speed

ASA’s CX-3 Flight Computer is an electronic flight computer and can be used in place of the E6-B. This aviation computer can solve all flight planning problems, as well as perform standard mathematical calculations.

Problem:

Calculate the distance and time upon reaching 8,500 feet MSL. Given:

Departure pathstraight out

Takeoff time1030 DST

Winds during climb180° at 30 knots

True course during climb160°

Airport elevation1,500 feet

True airspeed125 knots

Rate of climb500 fpm

Solution using a CX-3:

1. Find the ground speed and heading (Wind Correction on the FLT menu):

True Airspeed (TAS)125 KTS

True Course (TCrs)160°

Wind Speed (WSpd)30 KTS

Wind Direction (WDir)180°

Ground Speed (GS)96.39 KTS

Heading (THdg165°

2. Find the total distance required to climb to get to 8,500 feet:

8,500 (destination) – 1,500 (airport elevation) = 7,000 feet

3. Calculate the time to climb 7,000 feet:

7,000 (total climb) ÷ 500 (rate of climb) = 14 minutes

4. Find the distance flown (Ground Speed on FLT menu):

Duration (Dur)00:14:00 HMS

Ground speed (GS)96.39 KTS

Distance (Dist)22.49 NM

5. Find the time arrived at 8,500 feet (add takeoff time to time flown to get ETA):

Takeoff time1030 DST

Time flown14 minutes

ETA1044 DST

The takeoff and climb to altitude will require approximately 22.5 NM, and you will reach altitude at 1044 DST.

Finding Magnetic Heading and Ground Speed 

Problem:

Find the ground speed and magnetic heading given the following conditions:

True course258°

Variation10° East

Indicated airspeed142 knots

Ambient temperature+05°C

Pressure altitude6,500 feet

Forecast wind350° at 30 knots

Solution using a CX-3:

1. Find true airspeed (Airspeed on the FLT menu):

Temperature (OAT)5°C

Calibrated Airspeed (CAS)142 KTS (use indicated airspeed)

Pressure Altitude (PAlt)6,500 FT

True Airspeed (TAS)157.08 KTS

2. Find ground speed and heading (Wind Correction on the FLT menu):

True Airspeed (TAS)157.08 KTS

True Course (TCrs)258°

Wind Speed (WSpd)30 KTS

Wind Direction (WDir)350°

Ground Speed (GS)155.24 KTS

Heading (THdg)269°

3. Find magnetic heading:

269° (True Heading) – 10° (Easterly Variation) = 259°

Finding Wind Direction and Velocity

When the true heading, true airspeed, the ground track and ground speed are known, the wind direction and velocity can be found.

Solution using a CX-3:

Find the wind direction and velocity (Wind Correction on FLT menu):

Ground Speed (GS)140 KTS

True Airspeed (TAS)135 KTS

True Course (TCrs)130°

True Heading (THdg)135°

Wind Speed (WSpd)12.99 KTS

Wind Direction (WDir)245°

Finding Distance Traveled

When ground speed and lapsed time are known, distance traveled can be found (use Ground Speed on the CX-3 FLT menu):

Lapsed time (Time)2-1/2 minutes

Ground speed (GS)98 KTS

Distance flown (Dist)4.1 NM

Finding Fuel Required

When the fuel consumption and the ground speed are known, the amount of fuel required to fly a given distance can be found.

Problem:

Find the fuel required given the following conditions:

Fuel consumption15.3 GPH

Ground speed167 knots

Distance to travel620 NM

Solution using a CX-3:

1. Find the leg time (use Ground Speed on FLT menu):

Distance (Dist)620 NM

Ground Speed (GS)167 knots

Time flown03:42:45 HMS

2. Find the fuel consumption (use Fuel on the FLT menu):

Duration (Dur)03:42:45 HMS

Fuel burn (Rate)15.3 GPH

Fuel burned (Vol)56.8 US GAL

Finding Range Available

The range available in an aircraft can be found when the fuel on board, the fuel consumption rate, the ground speed, the flight time since takeoff, and the required reserve are known. 14 CFR §91.151 requires that for VFR flight, an airplane start off with enough fuel to fly to the point of intended destination, and after that for 30 minutes in the daytime and 45 minutes at night.

Problem:

How much farther can the airplane can fly, under day VFR conditions, according to 14 CFR Part 91? Given:

Usable fuel at takeoff36 gallons

Fuel consumption rate12.4 GPH

Constant ground speed140 knots

Flight time since takeoff48 minutes

Solution using a CX-3:

1. Find the total amount of flight time provided by the usable fuel at takeoff (use Fuel on FLT menu):

Usable Fuel (Vol)36 US GAL

Fuel burn (Rate)12.4 US GPH

Duration (Dur)02:54:12 HMS

2. Find the total time available, accounting for regulations and time already flown:

02:54:12 – 00:30:00 – 00:48:00 = 01:36:12

3. Find the distance available to fly (use Ground Speed on FLT menu):

Duration (Dur)01:36:12 HMS

Ground speed (GS)140 KTS

Distance (Dist)224.47 NM

Finding the Required Airspeed

The required airspeed can be found, when a specific point needs to be reached at a certain time.

Problem:

Find the required airspeed given the following conditions:

Distance between points A and B70 NM

Time between points A and B30 minutes

Forecast wind310° at 15 knots

Pressure altitude8,000 feet

Ambient temperature-10°C

True course270°

Solution using a CX-3:

1. Find the ground speed that must be made between points A and B (Ground Speed on FLT menu):

Distance (Dist)70 NM

Duration (Dur)30 MIN

Ground Speed (GS)140 KTS

2. Find the true airspeed (Wind Correction on FLT menu):

Ground Speed (GS)140 KTS

True Course (TCrs)270°

Wind Speed (WSpd)15 KTS

Wind Direction (WDir)310°

True Airspeed (TAS)151.8 KTS

True Heading (THdg)274°

3. Find the required indicated airspeed (or calibrated airspeed) (Airspeed on FLT menu):

True Airspeed (TAS)151.8 KTS

Temperature (OAT)-10°C

Pressure Altitude (PAlt)8,000 FT

Airspeed (CAS)137.15 KTS

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Off-Course Correction

After flying for a given distance, you find yourself a known distance off course. You can find the correction angle needed to return the airplane to the desired course in a specific distance by using this simple relationship:

Problem:

After 141 miles are flown from the departure point, the aircraft’s position is located 11 miles off course. If 71 miles remain to be flown, what approximate total correction should be made to converge on the destination?

Solution:

1. Find the change in heading needed to parallel the original course with the formula:

2. Find the change in heading needed to converge on the destination in 71 miles with the formula:

3. Add these two corrections to find the total correction required to converge on the destination:

4.68 + 9.29 = 13.97°

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Very High Frequency Omni-Directional Range (VOR)

Radio signals in the very high frequency (VHF) band are nominally in the frequency range of 30 to 300 megahertz (MHz). They operate according to the line-of-sight principle, following the same rules as light, and do not bend to conform to the surface of the earth. VHF reception distance varies in proportion to the altitude of the receiving equipment. The higher the aircraft, the greater the reception distance.

VHF Omni-Directional Range stations (VORs) operate within the 108.0 to 117.95 MHz frequency band and have a power output necessary to provide coverage within their assigned operational service volume. They are subject to line-of-sight restrictions and their range varies with the altitude of the receiving equipment. There are three classes of VOR:

• HVOR Range below 18,000 feet is 40 miles, range between 18,000 feet and FL450 is 130 miles, range above FL450 is 100 miles.

• LVOR Range below 18,000 feet is 40 miles.

• TVOR Range below 12,000 feet is 25 miles.

To orient where the aircraft is in relation to the VOR, first determine which radial is selected (look at the OBS setting). Next, determine whether the aircraft is flying to or away from the station (look at the TO/FROM indicator), to find which hemisphere the aircraft is in. Last, determine how far off course the aircraft is from the selected course (look at the CDI needle deflection) to find which quadrant the aircraft is in. Remember that aircraft heading does not affect orientation to the VOR. If the station is directly abeam of the aircraft, the TO/FROM Indicator will show a neutral flag.

Time and Distance to the Station Using VOR 

The time to the station is found by the formula:

The distance to the station is found by the formula:

Problem:

While maintaining a magnetic heading of 060° and a true airspeed of 130 knots, the 150° radial of a VOR is crossed at 1137 and the 140° radial at 1145. What is the approximate time to the station?

Solution:

Problem:

Given these conditions, find the distance to the station.

Solution:

Therefore, the station is 104 nautical miles away.

VOR Test (VOT)

To use the VOT service, tune in the VOT frequency on your VOR receiver. With the Course Deviation Indicator (CDI) centered, the Omni-Bearing Selector (OBS) should read 0° (or 360°) with the TO-FROM indicator showing FROM, or the Omni-Bearing Selector should read 180° with the TO/FROM indicator showing TO. Should the VOR receiver operate an RMI, it will indicate 180° TO on any OBS setting.

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VORTAC

Note: Sport Pilot Instructors can disregard this section.

A VORTAC station is a VOR station collocated with a military TACAN station. Civilian airplanes use the VOR for direction to or from the station, and the DME portion of the TACAN for distance information to the station. When a VORTAC station is undergoing routine maintenance, the identification code is removed. The VORTAC provides three individual services:

1. VHF VOR azimuth

2. UHF TACAN azimuth

3. UHF TACAN distance information (DME)

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Distance Measuring Equipment (DME)

The mileage readout of DME is the direct distance in nautical miles between the aircraft and the DME ground facility. This is commonly referred to as the slant-range, or slant-line, distance. The slant-range error is greatest when the aircraft is directly above the facility at a high altitude. An aircraft flying at 6,000 feet AGL directly above the facility would indicate a DME distance of 1 nautical mile.

DME furnishes distance information with a high degree of accuracy. Reliable signals may be received at distances of up to 199 nautical miles at line-of-sight altitude, with an accuracy of better than 1/2 mile or 3% of the distance, whichever is greater.

The DME or TACAN coded identification is transmitted 1 time for each 3 or 4 times that the VOR or localizer coded identification is transmitted. When either the VOR or DME is inoperative, it is important to recognize which identifier is retained for the operative facility. A single coded identification with a repetition interval of approximately 30 seconds indicates that the DME is operative.

When in the VOR mode, lateral deflection of the needle in the CDI represents degrees the aircraft is off course. A full needle deflection indicates that the airplane is 10° or more off course.

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